| 非负不可约矩阵Perron根新的下界序列 |
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| 引用本文： | 钟琴,黄廷祝.非负不可约矩阵Perron根新的下界序列[J].数学研究及应用,2009,29(4):730-736. |
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| 作者姓名： | 钟琴 黄廷祝 |
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| 作者单位： | 电子科技大学应用数学学院, 四川 成都 610054;电子科技大学应用数学学院, 四川 成都 610054 |
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| 基金项目： | 国家自然科学基金(No.60375003); 电子科技大学学术研究项目(No.L08011001JX0776). |
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| 摘 要： | Estimate bounds for the Perron root of a nonnegative matrix are important in theory of nonnegative matrices. It is more practical when the bounds are expressed as an easily calculated function in elements of matrices. For the Perron root of nonnegative irreducible matrices, three sequences of lower bounds are presented by means of constructing shifted matrices, whose convergence is studied. The comparisons of the sequences with known ones are supplemented with a numerical example.
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| 关 键 词： | 不可约矩阵 序列 下界 非负矩阵理论 计算功能 转移矩阵 素矩阵 收敛性 |
| 收稿时间： | 2007/4/18 0:00:00 |
| 修稿时间： | 1/2/2008 12:00:00 AM |
Sequences of Lower Bounds for the Perron Root of a Nonnegative Irreducible Matrix |
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| ZHONG Qin and HUANG Ting Zhu.Sequences of Lower Bounds for the Perron Root of a Nonnegative Irreducible Matrix[J].Journal of Mathematical Research with Applications,2009,29(4):730-736. |
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| Authors: | ZHONG Qin and HUANG Ting Zhu |
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| Institution: | School of Applied Mathematics, University of Electronic Science and Technology of China, Sichuan 610054, China |
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| Abstract: | Estimate bounds for the Perron root of a nonnegative matrix are important in theory of nonnegative matrices. It is more practical when the bounds are expressed as an easily calculated function in elements of matrices. For the Perron root of nonnegative irreducible matrices, three sequences of lower bounds are presented by means of constructing shifted matrices, whose convergence is studied. The comparisons of the sequences with known ones are supplemented with a numerical example. |
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| Keywords: | nonnegative irreducible matrix shifted matrix Perron root lower bound |
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